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Finding the Third Proportional to 344,044 and 521,250

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Solution

The third proportional to 344,044 and 521,250 is: 789,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,044 : 521,250 = 521,250 : x
  2. Step 2: Convert to fraction form
    344,044/521,250 = 521,250/x
  3. Step 3: Cross multiply
    344,044x = 521,250 × 521,250
  4. Step 4: Simplify right side
    344,044x = 271,701,562,500
  5. Step 5: Solve for x
    x = 271,701,562,500/344,044
  6. Step 6: Final answer
    x = 789,729.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.